Iterative learning consensus control with initial state learning for fractional order distributed parameter models multi‐agent systems

作者：Yong‐Hong Lan, Bin Wu, Yong Zhou · 发表于：Mathematical Methods in the Applied Sciences · 年份：2021 · DOI：10.1002/mma.7589 · 被引用次数：13 · 研究领域：Iterative Learning Control Systems、Distributed Control Multi-Agent Systems、Nonlinear Dynamics and Pattern Formation

This paper considers the consensus control problem of multi‐agent systems (MAS) with distributed parameter models. Based on the framework of network topologies, a second‐order PI‐type iterative learning control (ILC) protocol with initial state learning is proposed by using the nearest neighbor knowledge. A discrete system for proposed ILC is established, and the consensus control problem is then converted to a stability problem for such a discrete system. Furthermore, by using generalized Gronwall inequality, a sufficient condition for the convergence of the consensus errors between any two agents is obtained. Finally, the validity of the proposed method is verified by two numerical examples.